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Security forces in the Democratic Republic of Congo's capital Kinshasa shot dead an anti-government protester and wounded two others during church-led demonstrations against President Joseph Kabila on Sunday.

Catholic and evangelical churchgoers across Congo had been meant to take to the streets following Sunday services.

However, armed security forces surrounded Kinshasa's main churches and blocked roads, preventing most demonstrations from starting and in some cases using teargas and gunfire to disperse them.

Witnesses who brought the body of the slain demonstrator to Kinshasa's St. Joseph Hospital said he was shot by police outside the St. Benoit Catholic church in the Lemba neighbourhood.

Police shot the two others as they marched in the Masina neighbourhood, witnesses said.

In power since 2001, Kabila struck a deal in December 2016 with the main opposition bloc to stay on after his elected mandate expired on the condition elections were held by the end of 2017.

Government authorities missed that deadline and the vote is now scheduled for this December, though election officials have hinted that polls may not be possible even then due to financial and logistical constraints.

"Our people no longer believe in the political will of our current leaders to ensure a peaceful transition of power," one of the main organising groups wrote in a statement ahead of the march.

Church groups have become the main opposing force to Kabila as political opposition parties have been hobbled by infighting or seen their leaders forced into exile.

As with previous protest marches, internet, mobile data and phone messaging were cut across Congo early on Sunday.

Security forces killed about a dozen civilians during two previous marches organised by Catholic activists since December.